Synthesizing conjunctive and disjunctive linear invariants by K-means++ and SVM
Joint Authors
Source
The International Arab Journal of Information Technology
Issue
Vol. 17, Issue 6 (30 Nov. 2020), pp.847-856, 10 p.
Publisher
Zarqa University Deanship of Scientific Research
Publication Date
2020-11-30
Country of Publication
Jordan
No. of Pages
10
Main Subjects
Information Technology and Computer Science
Abstract EN
The problem of synthesizing adequate inductive invariants lies at the heart of automated software verification.
The state-of-the-art machine learning algorithms for synthesizing invariants have gradually shown its excellent performance.
However, synthesizing disjunctive invariants is a difficult task.
In this paper, we propose a method k++ Support Vector Machine (SVM) integrating k-means++ and SVM to synthesize conjunctive and disjunctive invariants.
At first, given a program, we start with executing the program to collect program states.
Next, k++SVM adopts k-means++ to cluster the positive samples and then applies SVM to distinguish each positive sample cluster from all negative samples to synthesize the candidate invariants.
Finally, a set of theories founded on Hoare logic are adopted to check whether the candidate invariants are true invariants.
If the candidate invariants fail the check, we should sample more states and repeat our algorithm.
The experimental results show that k++SVM is compatible with the algorithms for Intersection Of Half-space (IOH) and more efficient than the tool of Interproc.
Furthermore, it is shown that our method can synthesize conjunctive and disjunctive invariants automatically.
American Psychological Association (APA)
Ren, Shengbing& Zhang, Xiang. 2020. Synthesizing conjunctive and disjunctive linear invariants by K-means++ and SVM. The International Arab Journal of Information Technology،Vol. 17, no. 6, pp.847-856.
https://search.emarefa.net/detail/BIM-1432401
Modern Language Association (MLA)
Ren, Shengbing& Zhang, Xiang. Synthesizing conjunctive and disjunctive linear invariants by K-means++ and SVM. The International Arab Journal of Information Technology Vol. 17, no. 6 (Nov. 2020), pp.847-856.
https://search.emarefa.net/detail/BIM-1432401
American Medical Association (AMA)
Ren, Shengbing& Zhang, Xiang. Synthesizing conjunctive and disjunctive linear invariants by K-means++ and SVM. The International Arab Journal of Information Technology. 2020. Vol. 17, no. 6, pp.847-856.
https://search.emarefa.net/detail/BIM-1432401
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 854-855
Record ID
BIM-1432401